YES(?,O(n^1)) * Step 1: TrivialSCCs WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (?,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 27. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 0] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 37. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 40. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (?,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24},22->{33 ,34},23->{25,26,27},24->{29,30,31},25->{28},26->{43},27->{43},28->{13,14},29->{32},30->{43},31->{43},32->{13 ,14},33->{35,36,37},34->{39,40,41},35->{38},36->{43},37->{43},38->{13,14},39->{42},40->{43},41->{43},42->{13 ,14},43->{13,14},44->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (1,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (1,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (1,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (1,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (1,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (1,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (1,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (1,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (1,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (1,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (1,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (1,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (1,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 27. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 0] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 37. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 40. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (1,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24},22->{33 ,34},23->{25,26,27},24->{29,30,31},25->{28},26->{43},27->{43},28->{13,14},29->{32},30->{43},31->{43},32->{13 ,14},33->{35,36,37},34->{39,40,41},35->{38},36->{43},37->{43},38->{13,14},39->{42},40->{43},41->{43},42->{13 ,14},43->{13,14},44->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(23,27),(24,30),(33,37),(34,40)] * Step 3: UnreachableRules WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (1,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (1,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (1,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (1,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (1,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (1,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (1,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (1,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (1,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (1,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (1,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (1,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (1,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 27. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 0] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 37. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 40. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (1,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24},22->{33 ,34},23->{25,26},24->{29,31},25->{28},26->{43},27->{43},28->{13,14},29->{32},30->{43},31->{43},32->{13,14} ,33->{35,36},34->{39,41},35->{38},36->{43},37->{43},38->{13,14},39->{42},40->{43},41->{43},42->{13,14} ,43->{13,14},44->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [27,30,37,40] * Step 4: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (1,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (1,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (1,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (1,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (1,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (1,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (1,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (1,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (1,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (1,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (1,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (1,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (1,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (1,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24},22->{33 ,34},23->{25,26},24->{29,31},25->{28},26->{43},28->{13,14},29->{32},31->{43},32->{13,14},33->{35,36},34->{39 ,41},35->{38},36->{43},38->{13,14},39->{42},41->{43},42->{13,14},43->{13,14},44->{}] + Applied Processor: AddSinks + Details: () * Step 5: LooptreeTransformer WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (?,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (?,1) 45. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> exitus616(v_1,v_2,v_N,v_i_0) True (?,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44,45},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24} ,22->{33,34},23->{25,26},24->{29,31},25->{28},26->{43},28->{13,14},29->{32},31->{43},32->{13,14},33->{35,36} ,34->{39,41},35->{38},36->{43},38->{13,14},39->{42},41->{43},42->{13,14},43->{13,14},44->{},45->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,38,39,41,42,43,44,45] | `- p:[13,18,16,15,19,28,25,23,21,20,17,32,29,24,38,35,33,22,42,39,34,43,26,31,36,41] c: [13] * Step 6: SizeAbstraction WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [-1 + v_N >= v_i_0] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= v_N] (?,1) 15. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) True (?,1) 16. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) True (?,1) 17. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [v_2 >= 0 && 3 >= v_2] (?,1) 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 >= v_2] (?,1) 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_2 >= 3] (?,1) 20. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) True (?,1) 21. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [v_2 >= 2] (?,1) 23. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [0 >= v_2] (?,1) 24. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [v_2 >= 1] (?,1) 25. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [v_2 = 0] (?,1) 26. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 >= v_2] (?,1) 28. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 29. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [v_2 = 1] (?,1) 31. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 1] (?,1) 32. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 33. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [2 >= v_2] (?,1) 34. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [v_2 >= 3] (?,1) 35. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [v_2 = 2] (?,1) 36. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [1 >= v_2] (?,1) 38. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 39. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [v_2 = 3] (?,1) 41. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) [-1 + v_2 >= 3] (?,1) 42. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 43. eval_random2d_NewDefault_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) True (?,1) 44. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) True (?,1) 45. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> exitus616(v_1,v_2,v_N,v_i_0) True (?,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NewDefault_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{44,45},15->{16},16->{17,18,19},17->{20},18->{13,14},19->{13,14},20->{21,22},21->{23,24} ,22->{33,34},23->{25,26},24->{29,31},25->{28},26->{43},28->{13,14},29->{32},31->{43},32->{13,14},33->{35,36} ,34->{39,41},35->{38},36->{43},38->{13,14},39->{42},41->{43},42->{13,14},43->{13,14},44->{},45->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,38,39,41,42,43,44,45] | `- p:[13,18,16,15,19,28,25,23,21,20,17,32,29,24,38,35,33,22,42,39,34,43,26,31,36,41] c: [13]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 7: FlowAbstraction WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [v_1,v_2,v_N,v_i_0,0.0] eval_random2d_start ~> eval_random2d_bb0_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb0_in ~> eval_random2d_0 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_0 ~> eval_random2d_1 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_1 ~> eval_random2d_2 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_2 ~> eval_random2d_3 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_3 ~> eval_random2d_4 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_4 ~> eval_random2d_5 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_5 ~> eval_random2d_6 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_6 ~> eval_random2d_7 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_7 ~> eval_random2d_8 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_8 ~> eval_random2d_9 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_9 ~> eval_random2d_10 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_10 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= 0*K] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb8_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= K + v_i_0, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_NewDefault_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb8_in ~> eval_random2d_stop [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb8_in ~> exitus616 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= K + v_i_0, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NewDefault_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_NewDefault_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Applied Processor: FlowAbstraction + Details: () * Step 8: LareProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,v_1,v_2,v_N,v_i_0,0.0] eval_random2d_start ~> eval_random2d_bb0_in [] eval_random2d_bb0_in ~> eval_random2d_0 [] eval_random2d_0 ~> eval_random2d_1 [] eval_random2d_1 ~> eval_random2d_2 [] eval_random2d_2 ~> eval_random2d_3 [] eval_random2d_3 ~> eval_random2d_4 [] eval_random2d_4 ~> eval_random2d_5 [] eval_random2d_5 ~> eval_random2d_6 [] eval_random2d_6 ~> eval_random2d_7 [] eval_random2d_7 ~> eval_random2d_8 [] eval_random2d_8 ~> eval_random2d_9 [] eval_random2d_9 ~> eval_random2d_10 [] eval_random2d_10 ~> eval_random2d_bb1_in [K ~=> v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_bb1_in ~> eval_random2d_bb8_in [] eval_random2d_bb2_in ~> eval_random2d_12 [v_i_0 ~+> v_1,K ~+> v_1] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [] eval_random2d_LeafBlock_in ~> eval_random2d_NewDefault_in [] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [] eval_random2d_LeafBlock1_in ~> eval_random2d_NewDefault_in [] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_LeafBlock3_in ~> eval_random2d_NewDefault_in [] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_LeafBlock5_in ~> eval_random2d_NewDefault_in [] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_NewDefault_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb8_in ~> eval_random2d_stop [] eval_random2d_bb8_in ~> exitus616 [] + Loop: [v_1 ~+> 0.0,v_N ~+> 0.0,v_i_0 ~+> 0.0,K ~+> 0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_i_0 ~+> v_1,K ~+> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NewDefault_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_NewDefault_in [] eval_random2d_LeafBlock1_in ~> eval_random2d_NewDefault_in [] eval_random2d_LeafBlock3_in ~> eval_random2d_NewDefault_in [] eval_random2d_LeafBlock5_in ~> eval_random2d_NewDefault_in [] + Applied Processor: LareProcessor + Details: eval_random2d_start ~> eval_random2d_stop [K ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> 0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_N ~*> v_i_0 ,K ~*> v_1 ,K ~*> v_i_0 ,K ~*> 0.0 ,K ~*> tick] eval_random2d_start ~> exitus616 [K ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> 0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_N ~*> v_i_0 ,K ~*> v_1 ,K ~*> v_i_0 ,K ~*> 0.0 ,K ~*> tick] + eval_random2d_bb1_in> [huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> tick ,v_i_0 ~+> v_1 ,v_i_0 ~+> v_i_0 ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> 0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_N ~*> v_i_0 ,v_i_0 ~*> v_i_0 ,K ~*> v_1 ,K ~*> v_i_0] YES(?,O(n^1))